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230235428736 = 27321923457339
BaseRepresentation
bin1101011001101100011…
…0011101011110000000
3211000021111120121101100
43112123012131132000
512233010232204421
6253434012134400
722430306566005
oct3263306353600
9730244517340
10230235428736
1189707996335
1238755467400
13189323c4501
14b2018d18ac
155ec7aa4c26
hex359b19d780

230235428736 has 192 divisors, whose sum is σ = 727719408000. Its totient is φ = 69544645632.

The previous prime is 230235428719. The next prime is 230235428779. The reversal of 230235428736 is 637824532032.

230235428736 is a `hidden beast` number, since 2 + 3 + 0 + 23 + 542 + 87 + 3 + 6 = 666.

230235428736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 230235428691 and 230235428700.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 274755 + ... + 732093.

It is an arithmetic number, because the mean of its divisors is an integer number (3790205250).

Almost surely, 2230235428736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230235428736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363859704000).

230235428736 is an abundant number, since it is smaller than the sum of its proper divisors (497483979264).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

230235428736 is a wasteful number, since it uses less digits than its factorization.

230235428736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457401 (or 457386 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 230235428736 in words is "two hundred thirty billion, two hundred thirty-five million, four hundred twenty-eight thousand, seven hundred thirty-six".